退化族中的有限单值群与曲线的稳定度
Finite monodromy groups in degenerating families and the stability degree of curves
AI总结：
该研究计算亏格g的曲线与指定秩的半阿贝尔簇的稳定度，证明前者等于Minkowski界，通过退化族有限单值群的 specialization 结果结合素数2处显式构造完成证明。
AI中文摘要：
我们计算了亏格为g的曲线的稳定度，证明其等于经典的Minkowski界。同时计算了具有指定环面秩和阿贝尔秩的半阿贝尔簇的稳定度。证明使用了退化族中有限单值群的 specialization 结果，该结果由Krasner引理的变体得到，结合了素数2处的显式构造。
英文摘要：
We compute the stability degree of curves of genus g and show that it is equal to the classical Minkowsky bound. We also compute the stability degree of semi-abelian varieties with prescribed toric and abelian ranks. The proof uses a specialization result for finite monodromy groups in degenerating families, obtained from a variant of Krasner's lemma, together with an explicit construction at the prime 2.
